PLEASE HELP AND SHOW WORK PLEASE.

How is this a no solution answer? I came out with the answer x < -2 and x ≥ 5


5 - x > 7 and 2x + 3 ≥ 13

Answers

Answer 1

Inequalities help us to compare two unequal expressions. There exists no solution to the given set of inequalities.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.


The given Inequalities can be solved as,

5 - x > 7

-x > 7 - 5

-x > 2

x < -2

2x + 3 ≥ 13

2x ≥ 10

x ≥ 5

As per the solution of the two inequalities, the value of x should be less than -2 but at the same time, it should be more than or equal to 5, which is impossible. Thus, there is no solution for the given inequalities.

This can be confirmed by graphing the two inequalities, as shown below. Since there is no area in common between the two inequalities, there exists no solution to the given set of inequalities.

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PLEASE HELP AND SHOW WORK PLEASE.How Is This A No Solution Answer? I Came Out With The Answer X &lt;

Related Questions

You are choosing between two different cell phone plans. The first plan charges a rate of
24 cents per minute. The second plan charges a monthly fee of $49.95 plus 11 cents per
minute.
Lett be the number of minutes you talk and C₁ and C₂ be the costs (in dollars) of the first
and second plans. Give an equation for each in terms of t, and then find the number of
talk minutes that would produce the same cost for both plans (Round your answer to one
decimal place).
C₁ =____
C₂ =____
If you talk for
_____ minutes the two plans will have the same cost.

Answers

If you talk for 384.23 minutes the two plans will have the same cost.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

x is the number of minutes that will be used during a month:

C₁ = 0.24x

C₂ = 49.95 + 0.11x

So, when 1st = 2nd

0.24x = 49.95 + 0.11x

0.24x - 0.11x = 49.95

0.13x = 49.95

x = 49.95/0.13

x = 384.23 minutes

Hence, If you talk for 384.23 minutes the two plans will have the same cost.

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what is the probability that s+d>3 and s.d>3? write your answer as a decimal rounded to hundreth place

Answers

The probability that s+d > 3 and sd > 3 is 0.03.

Solution

Plot the inequalities

The region -5 ≤ s,d ≤ 5 is the square shaded in grey.

The region s + d > 3 is the region Q shaded to the right of the straight line.

The region sd > 3 is the region R shaded to the right of the curve d = 3/s.

Find the intersection of the three regions

From the figure, the region satisfying all the above three inequalities is the region to the left of the curve d = 3/s, bounded by the square region, i.e. the region R.

Probability of region R

The required probability is the Geometric probability of the intersection region R. It is calculated as

P(R) = ar(region R) / ar(square region P).

Calculate the areas of the regions

ar(region R) = area of the rectangle to the right in the first quadrant formed by dropping a vertical from point F - area under the curve d = 3/s in the first quadrant

[tex]\[\Rightarrow \;\; \mathrm{ar(\mathbf{R}) =} \int_{3/5}^5\frac{3}{s}ds = 25-3-3\ln\frac{25}{3} = 15.64.\][/tex]

ar(region P) = 25 × 25 = 625.

Calculate P(R)

The probability of the region R, P(R) = 15.64 / 625 = 0.025.

Rounding it to the hundredth place of decimal, P(R) = 0.03.

The probability that s+d >3 and sd>3, where -5 < s,d < 5, is 0.03.

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Question

What is the probability that s + d > 3 and sd > 3, where -5 ≤ s,d ≤5? Write your answer as a decimal rounded to the hundredth place.

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solve for a
(log(a-6)^2 =log10

Answers

Answer:

It is 98. Just look down for the explanation↓:

Step-by-step explanation:

Log 10 (x + 2) = 2

So, the Inverse log is:

10^2 = x + 2

100 = x + 2

98 = x

what is the difference between a relation and function? Classify each of the following as a function, or not a function. State the domain and range
{(1,7),(1,14),(1,21)}

The relation is/isn't a function
Domain _ _ _
Range _ _ _
Leave Unused Fields Blank

Answers

Answer:

A relation is a subset of cartesian product of two non empty sets whereas A function is a type of relation in which every element of first set has one and only image in the second set.

In a relation an element of the first set can have many images in the second set whereas in a function the first element can have only one image in the second set.

The given relation is not a function as the element 1 is related to 3 different elements in the second set.

Domain={1}

Range={7,14,21}

Mirele needs to buy fencing to completely surround her backyard pool. How much fencing should she buy?

A pool has a length of 31.74 feet and a height of 14.85 feet.

Answers

Answer:

93.18 feet

Step-by-step explanation:

Length of backyard pool = 31.74 feet

Height of backyard pool = 14.85 feet

To find = Use the formula for the perimeter of a rectangular pool.

= 2 ( length + height )

Length of fencing bought by Mirele:

2 ( 31.74 + 14.85 ) = 2 ( 46.59 ) = 93.18 feet

What is the solution to this system of equations
3x+y=17
X+2y=49

Answers

Answer:

x=−3 and y=26

Step-by-step explanation:

Let's solve your system by substitution.

3x+y=17;x+2y=49

Step: Solve 3x+y=17 for y:

3x+y=17

3x+y+−3x=17+−3x(Add -3x to both sides)

y=−3x+17

Step: Substitute−3x+17 for y in x+2y=49:

x+2y=49

x+2(−3x+17)=49

−5x+34=49(Simplify both sides of the equation)

−5x+34+−34=49+−34(Add -34 to both sides)

−5x=15

-5x/5  = 15/-5 (Divide both sides by -5)

x=−3

Step: Substitute −3 for x in y=−3x+17:

y=−3x+17

y=(−3)(−3)+17

y=26(Simplify both sides of the equation)

Answer:

x=−3 and y=26

Each salesperson at an insurance agency is rated either below average, average, or above
average with respect to sales ability. Each salesperson is also rated with respect to his or her
potential for advancement either fair, good, or excellent. These traits for the 500 sales people
were cross-classified into the following table.
Potential for Advancement
Sales Ability Fair Good Excellent Total
Below Average 16 12 22 50
Average 45 60 45 150
Above Average 93 72 135 300
Total 154 144 202 500
If a salesperson is selected at random what is the probability:
A. The salesperson has “Fair” potential for advancement.
B. The salesperson has “Fair” potential or has Above Average Sales ability
C. The salesperson has “Fair” potential given they have Above Average Sales ability.
D. Of selecting 2 salespersons and finding they both have Fair potential for advancement.

Answers

Probability that the salesperson has “Fair” potential or has Above Average Sales ability is; 90.8%

How to find the probability?

A) Probability that the salesperson has “Fair” potential for advancement = (16 + 45 + 93)/500 = 154/500 = 30.8%

B)  Probability that the salesperson has “Fair” potential or has Above Average Sales ability = 30.8% + (300/500)% = 90.8%

C) Probability that the salesperson has “Fair” potential given they have Above Average Sales ability = P(A|B) = P(A ∩ B)/P(B) = (93/500)/0.6 = 0.31 = 31%

D) P(selecting 2 salespersons and finding they both have Fair potential for advancement) = (154/500) * (153/499) = 9.44%

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10% of an amount is 6.2 . Wirk out the original account

Answers

Answer:

the original amount was 62

Step-by-step explanation:

You can use the part over whole formula like this:

[tex]\frac{part}{whole} = ( \frac{6.2}{?} * \frac{10}{100})\\ ? = 62[/tex]

why?

because we know that 10% = 10/100, we can easily find out the answer by cross multiplying

? * 10 (let's use x, instead of ?)

=10x

6.2 * 100

= 620

Now we have an equation that looks like this: 10x = 620

By using the inverse operation tool (dividing each side by 10 to isolate x) we have:

x (or ?) = 62

Outside of the United States, many countries use ____ for their accounting standard.
A. the Common Market accounting methods
B. the international agreement on taxes and tariffs
C. the International Financial Reporting Standards
D. generally accepted accounting practices​

Answers

the international financial reporting standards
The answer is C The international financial reporting standards

Find f(g(3)) and g(f(-2)).
f(x)=x²-1 and g(x)=2x-3

Answers

Answer:

1. 8

2. 3

Step-by-step explanation:

[tex]f(g(3)) \\= f(2(3)-3))\\=f(3)\\=3^2-1\\= 9-1\\=8\\\\g(f(-2))\\= g((-2)^2-1)\\=g(4-1)\\=g(3)\\=2*3-3\\=3[/tex]

Question 4tiple Choice Worth 5 points)
(07.03 MC)
Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B?
O Translate circle A using the rule (x+4y+3)
O Rotate circle A 45" about the center
O Dilate circle A by a scale factor of 4
O Reflect circle A about the origin

Answers

Answer:

Dilate circle A by a scale factor of 4.

Step-by-step explanation:

To show that two circles are similar, use transformations to map one to the other.

Step 1

Translate circle A so that its center is the same as circle B.

Center of circle A = (6, 7)Center of circle B = (2, 4)

Translate circle A using the rule (x - 4, y - 3)

Step 2

Find the scale factor needed to dilate circle A to the size of circle B using the radii of the circles.

Radius of circle A = 4Radius of circle B = 16

⇒ scale factor = 16 ÷ 4 = 4

Dilate circle A by a scale factor of 4.

Therefore, the only answer option that is correct is:

Dilate circle A by a scale factor of 4.

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5, 5),A(5,5),A, left parenthesis, 5, comma, 5, right parenthesis, comma B(7,5)B(7,5)B, left parenthesis, 7, comma, 5, right parenthesis, C(7,-1)C(7,−1)C, left parenthesis, 7, comma, minus, 1, right parenthesis, and D(5,-1)D(5,−1)D, left parenthesis, 5, comma, minus, 1, right parenthesis.
Given these coordinates, what is the length of side BCBCB, C of this rectangle?

Answers

Answer:

The length of the side BC is 6 units.

Step-by-step explanation:

Distance formula:  This works for any two points in 2D space with coordinates (x₁, y₁) for the first point and (x₂, y₂) for the second pointIt is the length of the line segment joining two pointsd = [tex]\sqrt{(x_{2} {-} x_{1})^{2} +(y_{2} {-} y_{1})^{2}}[/tex]

For the given question:

Rectangle ABCD

Coordinates of Point A,B,C,D

[tex]A = ( 5 , 5)B = (7, 5)C = (7 , -1)D = (5 , -1)[/tex]

As we are asked to find the length of side BC, we'll apply the Distance formula on side BC

BC = [tex]\sqrt{(7_ {-} 7)^{2} +(-1 {-} 5)^{2}}[/tex]

     = [tex]\sqrt{(0)^{2} +(-6)^{2}}[/tex]

     = [tex]\sqrt{ 36}[/tex]

     = [tex]6[/tex]

Hence, the length of the line side BC is 6.

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find the perimeter of the triangle

Answers

Answer:

x²+14x+11

Step-by-step explanation:

Find the perimeter of the triangle.

The perimeter is:

add them

-x²+9x

2x²+6

5x+5

x²+14x+11

quizlet

X+24=35 how to solve this

Answers

Answer:

X = 11

Step-by-step explanation:

Simplifying

X + 24 = 35

Reorder the terms:

24 + X = 35

Solving

24 + X = 35

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + X = 35 + -24

Combine like terms: 24 + -24 = 0

0 + X = 35 + -24

X = 35 + -24

Combine like terms: 35 + -24 = 11

X = 11

Simplifying

X = 11

Answer:

x+24=35

then collect like terms together, which means "x" terms in one side and numbers in one side:

x=35-(+24)

we need to change the signs when ever we change its place, like changing from one side to another

x=35-24

x=11. ✓

The polynomial f(x) has degree 3. Choose each statement that could describe all zeros of f.

Answers

The true statements are

(a) -one zero with multiplicity 3(d) -one zero with multiplicity 1 and one zero with multiplicity 2(l) -Three zeros with multiplicity 1

Missing information in the question

-one zero with multiplicity 3

-one zero with multiplicity 4

-one zero with multiplicity 5

-one zero with multiplicity 1 and one zero with multiplicity 2

-one zero with multiplicity 1 and one zero with multiplicity 3

-one zero with multiplicity 2 and two zeros with multiplicity 1

-one zero with multiplicity 2 and three zeros with multiplicity 1

-Two zeros with multiplicity 2

-Two zero with multiplicity 2 and two zeros with multiplicity 1

-Two zero with multiplicity 2 and three zeros with multiplicity 1

-Two zero with multiplicity 1

-Three zeros with multiplicity 1

-Four zeros with multiplicity 1

-Five zeros with multiplicity 1

How to determine the true statements?

The function is given as:

f(x)

And it has a degree of 3

This means that

The total multiplicity of the zeros of the function is 3 It cannot have more than three zeros i.e. it can have 1, 2 or 3 zeros

Using the above highlight as a guide, the true statements are (a), (d),and (l)

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Timothy is an hourly employee and he can work maximum of 40 hours in a week. If the weekly salary depends on the number of hours (h) worked, what will be the domain of the function in this context?

a. h < 40, h ∈ Z
b. h ≥ 0, h ∈ R
c. 0 ≤ h ≤ 40, h ∈ R
d. h ≤ 40, h ∈ R

Answers

Answer:

C

Step-by-step explanation:

 0 ≤ h ≤ 40, h ∈ R

Hope this helps :)

B is the set of odd numbers greater than 5 and less than 21

Answers

Answer:

List method: {7,9,11,13,15,17,19}

Set method: {X:N where N is odd, N>5 and N<21}

The odd numbers greater than 5 and less than 21 are {7, 9,11,13,15,17,19}.

What are odd numbers?

Odd numbers are the numbers that cannot be divided by 2 evenly. It cannot be divided into two separate integers evenly.

Odd numbers are opposite to even numbers this means that even numbers are numbers that can be divided by 2.

When we say numbers greater than 5 and less than 21 this means 5< x < 21

The odd numbers greater than 5 and less than 21 are ;

{7, 9,11,13,15,17,19}. These odd numbers are greater than 5 and less than 21.

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Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x? (1 point) 3 4 13 22

Answers

Answer: 3

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, so

[tex]4x+10=2x+16\\\\2x+10=16\\\\2x=6\\ \\ x=3[/tex]

Find the range and standard deviation of the set of data.
210, 213, 216, 219, 222, 225, 228

Answers

Answer:

range = 18 and SD = 6

Step-by-step explanation:

range = max - min

= 228 - 210

= 18

FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*

follow these steps:

1. press mode then STAT

2. then press 1-VAR

3. put all the numbers on the table in ascending order

4 after press AC

5. press shift then 1

6. you will see many things but we are only interested in standard deviation, press *Var*

7. then select the standard deviation sign and press the equal sign

Graph the linear function whose equation is y-2=-(x+1) by following these steps:
y
X
y
4
Step 1: Identify the slope.
slope = =

Answers

Answer:

slope == -1

Step-by-step explanation:

y-2 = -(x+1)

; y-2 = -x-1 expanding the bracket

; y = -x-1+2

; y = 1-x

hence slope equals -1

Evaluate: √121m²n6 if m = 3, n = 2 ​

Answers

Answer:

1188

Step-by-step explanation:

√121 (3^2)(2(6)) = 1188

Answer:

264

Step-by-step explanation:

√(121m^2 n^6)   =   11 m n^3

  sub in the values given for m and n

                       11 (3)(2^3) = 11 * 3 * 8 = 264

what is the equation

Answers

Answer:

[tex]y = \sin( \frac{2\pi}{3} x) [/tex]

Step-by-step explanation:

The equation of a sine function is y = a sin(bx), where a = amplitude (aka height) and b equals period (aka time). I'm assuming there isn't any information other than the graph shown, so let's assume that our amplitude is 1 and our period is 2pi/3. Plugging these values into the equation, we get:

[tex]y = (1) \sin(( \frac{2\pi}{3})x ) = \sin(\frac{2{\pi} }{3}x )[/tex]

what is the sign of f on the interval -5/9 < X < 2/3

Answers

Note that the sign of f on the interval -5/9 < x < 2/3 is negative. (Option B)

What is the explanation for the above?

To determine the sign of f(x) on the interval -5/9 < x < 2/3, we need to evaluate f(x) at a test point within this interval and determine if it is positive or negative.

Since we know that f(x) has zeros at x = -4, x = -5/9, and x = 2/3, we can use these points as our reference to choose test points.

Specifically, since the zeros at x = -5/9 and x = 2/3 are not included in the interval -5/9 < x < 2/3, we can choose any test point within this interval, such as x = 0.

Evaluating f(x) at x = 0, we get:

f(0) = (3(0) - 2)(0 + 4)(9(0) + 5)

= (-2)(4)(5)

= -40

Since f(0) is negative, we can conclude that f(x) is negative on the interval -5/9 < x < 2/3.

Therefore, the sign of f on the interval -5/9 < x < 2/3 is negative


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Full Question:

f(x) = (3x - 2) (x+4) (9x +5) has zeros at x = -4, x = -5/9, and x = 2/3, that is the sign of f on the interval -5/9 < x < 2/3?

(x^4-13x^2+36)/(2x^2+10+12)

Answers

Answer:

Step-by-step explanation:

The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).

Answers

The transformation of a function may involve any change. When the graph of f(x) is transformed into 5 units to the right and one unit up, then the function g(x) is obtained.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f(x/k)

Given the function f(x)=x², which is transformed to g(x)=(x-5)²+1, therefore, the graph of both the functions are given below.

When the graph of f(x) is transformed into 5 units to the right and one unit up, then the function g(x) is obtained.

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if f(x)=5^2x-2 and g(x)=x+1, find (f-g) (x)

Answers

The function  (f-g) (x) is represented as 5^2x - 3 - x .

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

f(x)=5^2x-2

g(x)=x+1

Then, the function

(f-g) (x) = 5^2x-2  - (x+1)

Distribute the negative;

(f-g) (x) = 5^2x-2  - x - 1

(f-g) (x) = 5^2x - 3  - x

Hence, the function  (f-g) (x) is represented as 5^2x - 3 - x .

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need help with this question im stuck

Answers

Answer:

answer is B. 100°

Step-by-step explanation:

if correct please I need brainlist

Answer:

100°

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary, i.e., they add up to 180°.

The 80° angle and angle x are opposite each other, so:
x + 80° = 180°

x = 180° - 80°

  x = 100°

What is the a-value of the graph? ​

Answers

Estimating limit values from graphs


The sum of the digits of a two-digit number is 14. When the digits are
reversed, the new number is 36 less than the original number. Find the
original number. Check your answer.
O The original number is 59.
O The original number is 68.
O The original number is 86.
O The original number is 95

Answers

First, lets figure out which ones add up to 14

5+9=14

6+8=14

8+6=14

9+5=14

They all add up to 14.

Next, reverse the digits and see if it is 36 less than the original number

95 is not 36 less than 59

86 is not 36 less than 68

68 is only 18 less than 86

59 is 36 less than 95

So, the answer would be 95.

What is the equation of the graph below

Answers

Answer:

y = csc(x)+2

Step-by-step explanation:

This is the graph of y = csc(x), shown in the attached image, shifted up 2 units.

Other Questions
The network layer of the ISO/OSI model organize bits into .......... The line joining all places of zero variation is called? Who..... (enjoy) eating Italian food? I know a good restaurants First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded above first and second line. Part B shaded below first line and above second line. Part C shaded below first and second lines. Part D shaded above first line and below second line. Which part of the graph best represents the solution set to the system of inequalities y x + 1 and y + x 1? Part A Part B Part C Part D Question 3(Multiple Choice Worth 5 points) (05.05 MC) Two systems of equations are shown below: System A System B 2x + y = 5 10x + 19y = 1 4x + 6y = 2 4x + 6y = 2 Which of the following statements is correct about the two systems of equations? They will have the same solutions because the first equation of System B is obtained by adding the first equation of System A to 2 times the second equation of System A. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A. The value of x for System B will be 5 times the value of x for System A because the coefficient of x in the first equation of System B is 5 times the coefficient of x in the first equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding 12 to the first equation of System A and the second equations are identical. Question 4(Multiple Choice Worth 5 points) (05.06 LC) To which graph does the point (1, 4) belong? y x + 4 y x 6 y 2x 3 y 5x 1 Question 5(Multiple Choice Worth 5 points) (06.04 MC) What is the equation of the graph below? A graph shows a parabola that opens up and crosses the x axis at negative two and negative four. y = (x 3)2 + 1 y = (x + 3)2 + 1 y = (x 3)2 1 y = (x + 3)2 1 Question 6 (Fill-In-The-Blank Worth 5 points) (06.04 MC) A ball is thrown upward from the top of a building. The function below 3y-12x=24 and goes through point (2,-6) . write your answer in y=mx+b ____________________ is characterized by severe chronic motor and vocal tics that is known to have a substantial genetic basis. Which values of a and b make the following equation true?(5x7y)(-4xy5)--20xya=11, b = 7a = 11, b = 10a=28, b = 7a=28, b= 10 how can scientists account for the fact that extrasolar planets seem to come in a wider range of types than the planets of our solar system? Where are chromosomes located during metaphase? How can triangles be proven similar by the SAS similarity theorem? esson PosttestQuestion 10Which of the following is the concise alternative for the phrase: due to the fact thatPoints 2O factO agreeO sinceO about Question 1 of 5Select the correct answer.Which expression is equivalent to 6z 38z, if z> 0?36/2O 333/z322Submit On December 1, Jasmin Ernst organized Ernst Consulting. On December 3, the owner contributed $85,360 in assets in exchange for its common stock to launch the business. On December 31, the companys records show the following items and amounts. Cash $ 7,010 Cash dividends $ 3,390 Accounts receivable 18,350 Consulting revenue 18,350 Office supplies 4,480 Rent expense 4,820 Office equipment 19,360 Salaries expense 8,370 Land 46,040 Telephone expense 910 Accounts payable 9,740 Miscellaneous expenses 720 Common stock 85,360 A jacket is on sale for 70% of the original price.if the discount saves $140,what was the original price of the jacket ______ for an expatriate is the combination of many types of payments or reimbursements and must take into consideration exchange rates and inflation. Jecker and Landy (1969) conducted an experiment in which some participants were asked by the experimenter to return the monetary compensation they had received as a special favor to him, while others were asked by the department secretary to return the money as a favor to the psychology department, and still others received no request for the return of their compensation. The researchers found that participants who were approached by the experimenter evaluated him better than did participants in the other two experimental conditions. Why From which state of Mexico are the dances like "la Culebra", "la Negra" and "el Jarabe"? Which of the following best names significant threats to water quality in the United States? A rectangular pyramid has a height of 6 units and a volume of 40 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct? A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect. A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect. A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct. A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units3; therefore, Shannon is correct. Identify the conclusion of the conditional statement:If an animal is a fish, then it lives in the water.